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I'm hungover and can't do a child's maths homework...

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PostPosted: 09:09 - 22 Oct 2011    Post subject: I'm hungover and can't do a child's maths homework... Reply with quote

I have a 12 year old asking me for help with his homework. I can't do it. I'm hungover and tired and just want to play a bit of Forza.

Can someone tell me the formula that links these numbers as in x and y

X | Y
1 | 3
2 | 15
3 | 35
4 | 63
5 | 99

Yours shamefully,
Joe
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thegubner
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PostPosted: 09:15 - 22 Oct 2011    Post subject: Reply with quote

It's nearly certain to be something to do with numbers.


I'm NOT hungover.
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Mehty
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PostPosted: 09:22 - 22 Oct 2011    Post subject: Reply with quote

x goes up and so does y?
I should know this, but iv been out of school for 2 years now so its all gone Laughing
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Poseidon
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PostPosted: 09:30 - 22 Oct 2011    Post subject: Reply with quote

2x squared - 1

Can't do super script on here.
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-Savage-
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PostPosted: 09:33 - 22 Oct 2011    Post subject: Reply with quote

got it, XxXx4-1=Y

X squared times 4 minus 1 = Y
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PostPosted: 10:10 - 22 Oct 2011    Post subject: Reply with quote

Thanks guys Thumbs Up
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Deckx
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PostPosted: 02:36 - 23 Oct 2011    Post subject: Reply with quote

mmm... whats the point of this type of maths Confused
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SoND
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PostPosted: 09:36 - 23 Oct 2011    Post subject: Reply with quote

Deckx wrote:
mmm... whats the point of this type of maths Confused


Graphs and understanding the function of a line.

If you plot " y = 2x^2 - 1 " you get a line that goes through all of the points listed in the table.

And now that you have the function of the line you can do other cool stuff like integration to find the area under the line or differentiate to find the rate of change at a point.

It's used everywhere all the time.

https://img.photobucket.com/albums/v612/SoND/2xsqmin1.gif
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Skudd
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PostPosted: 09:54 - 23 Oct 2011    Post subject: Reply with quote

I used it at the chip shop last night. Thanks to god I had a pencil and paper with me at the time otherwise I wouldn't have got an extra sausage and a tub of curry.
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Poseidon
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PostPosted: 10:44 - 23 Oct 2011    Post subject: Reply with quote

Okay, this has been annoying me since I posted... The formula I suggested is this:

https://latex.codecogs.com/gif.latex?y=(2x)^{2}-1

Which, whilst correct, can be simplified to what savage wrote. I was dashing out of the door when I replied yesterday, so didn't spot this at the time! I personally would go with this formula (savages answer) as it looks neater not having the brackets:

https://latex.codecogs.com/gif.latex?y=4x^{2}-1
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Last edited by Poseidon on 17:05 - 23 Oct 2011; edited 1 time in total
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Poseidon
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PostPosted: 10:59 - 23 Oct 2011    Post subject: Reply with quote

SoND wrote:
That doesn't work.

4x² - 1

Is not the same as

4(x²) - 1

Actually it is. the order you do stuff in an equation goes along the lines of; brackets-> indices-> division-> multiplication-> addition-> subtraction... It's BIDMAS (or bodmas as it used to be called). In the first equation, you do Xsquared first, then multiply by 4, then subtract one. In the second one, you do the Xsquared first, then multiply by 4, then subtract 1.

(2x)² is essentially 2x multiplied by itself... so (2x) X (2x)... which equals 2 times x times 2 times x = 4x².

EDIT:
Where'd it go???
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SoND
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PostPosted: 11:01 - 23 Oct 2011    Post subject: Reply with quote

Deleted my post because I wanted to think about it for a while Laughing
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Poseidon
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PostPosted: 11:04 - 23 Oct 2011    Post subject: Reply with quote

Good job I quoted you then eh! Laughing
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SoND
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PostPosted: 11:15 - 23 Oct 2011    Post subject: Reply with quote

When you're inputting it into a calculator you need to start putting the brackets in but when you're writing/reading it algebraically the coefficient takes priority over the index.

When you read "2x²" you're taking two of x and squaring the result of that.

(2 * x)² - 1 == 4(x²) - 1
- Nonsense.

EDIT:
You're right and I'm a dumbass. Sad

Fuck Laughing
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Poseidon
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PostPosted: 13:09 - 23 Oct 2011    Post subject: Reply with quote

It helps I'm doing this sort of stuff on a daily basis at the moment. Specifically using the exponent function for population changes over time (bacteria mostly).

@deckx:

As SoND said, it allows you to do all kinds of funky stuff like working out rates of change etc, but it also means you don't have to draw a graph to find the Nth term... For example, if you were asked to find y when x=7,563 for the formula in this thread. Whilst you could draw the graph to find the answer, you'd have to draw the x-axis to 7,563 and the y-axis to almost 230million (might be a little time consuming!). Using the formula, you can work out that when x=7,563, y=228,795,875 in a matter of seconds!
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st3v3
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PostPosted: 16:05 - 23 Oct 2011    Post subject: Reply with quote

Anybody else baffled by this stuff?

Also shamefully,

Steve.
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Whosthedaddy
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PostPosted: 16:30 - 23 Oct 2011    Post subject: Reply with quote

st3v3 wrote:
Anybody else baffled by this stuff?

Also shamefully,

Steve.


Yes and no.

The fact that I don't understand the question doesn't help.

Laughing
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swampy
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PostPosted: 16:53 - 23 Oct 2011    Post subject: Reply with quote

Well i got the answer from the original question... but then got very lost when people started putting into formulae... Looks like Egyptian hieroglyphics to me.
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WildGoose
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PostPosted: 17:38 - 23 Oct 2011    Post subject: Reply with quote

SoND wrote:
It's used everywhere all the time.


Where?

Not that i'm doubting you, just interested.

It is forever to my shame that I dropped out of A level maths because I couldn't do it. Probably didn't try particularly hard in all honesty, was more interested in motorbikes, but lost interest because it seemed largely pointless.

Up to GCSE you did things that I have since used in every day life, but nothing on Advanced level Maths either Pure or Mechanics has ever come up.

I am sometimes tempted to go back and finish my A levels properly through distance learning, but apart from a piece of paper, I can't think of a practical reason to.
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Poseidon
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PostPosted: 17:54 - 23 Oct 2011    Post subject: Reply with quote

WildGoose wrote:
SoND wrote:
It's used everywhere all the time.


Where?

I use it almost daily in microbiology. If you know your starting population of bacteria and how quickly they grow, you can use the exponent function and a very similar formula to the one in this thread, to allow you to figure out what the population will be or was at any given point in time. It's much easier than trying to count billions of individual bacteria that are invisible even under light microscope.

It's used for such things as carbon dating as well by using the the same formula for population decline, but instead of looking at populations, you look at carbon 14 levels.

Essentially the formulae mean you don't have to extrapolate lines in graphs to insanely impractical levels to find answers.
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SoND
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PostPosted: 19:30 - 23 Oct 2011    Post subject: Reply with quote

swampy wrote:
Well i got the answer from the original question... but then got very lost when people started putting into formulae... Looks like Egyptian hieroglyphics to me.


I bet you know more and understand it better than you think you do.

In the OPs question, you have two sets of numbers whose values are linked by a mysterious 'trick' or system. If you can discover this pattern then you can use it to take any number from one set and find its corresponding value in the other set.

The 'mystery trick' is called a function and can be written as an expression (that stuff that looks like hieroglyphs). Looking around mathsy things you see stuff like "f(x) = blahblah 2x" or a line with "y = blahblah 2x" beside it, they're both pretty much telling you the same thing, that a value from one set (Y) can be found by taking any value of (X) and processing it in this expression.

f(x) = 2x
The function of x (read f of x) is equal to 2x (2 multiplied by the value of x)
y = 2x
The value of y is equal to 2x (2 multiplied by the value of x)


Don't get tripped up by the language of it yet, there are different ways of writing the same thing. If you read a textbook it's something you will quickly pick up along the way, you can't learn it without doing it.

People fucking love graphs so lets call one set 'X', the other set 'Y' and now we can use the two values as co-ordinates to plot them to get a visual representation of the series/function.
--
Got distracted, went away, came back and I think I've waffled a bit. Silence

WildGoose wrote:
Where?


I'll try to find you some interesting examples later.
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st3v3
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PostPosted: 19:34 - 23 Oct 2011    Post subject: Reply with quote

I always get stumped att he point where a letter equals a number; so X = 2 and Y = 5.

How the fook can a letter equate to a number? How do you 'just' allocate a number to a letter; what gives it a corresponding value?
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LordShaftesbu...
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PostPosted: 19:50 - 23 Oct 2011    Post subject: Reply with quote

I had the exact same objections to algebra. In Primary 7.
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SoND
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PostPosted: 19:53 - 23 Oct 2011    Post subject: Reply with quote

Think of it as an undefined variable until we put something in it.

In the original question we know that "Y" is equal to 4x² - 1.

Y is defined, it's not empty, we know what it is. It's 4x² - 1!

What does this mean? On a 2D graph you have two axis, y (vertical) and x (horizontal). You can pick any point on the x-axis, say "I want to know what 'Y' is when I'm at this point." then find it out by using the definition of 'Y'.

Let's pick the number 0 on the x-axis. We are saying x = 0

We take '0' and substitute it into the original equation (put 0 everywhere it says 'x')

When x = 0
Y = 4(0²) - 1
Y = -1

When x = 1
Y = 4(1²) - 1
Y = 4 - 1
Y = 3

When x = 2
Y = 4(2²) - 1
Y = 4(4) - 1
Y = 16 - 1
Y = 15

and so on.
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SoND
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PostPosted: 13:19 - 28 Oct 2011    Post subject: Reply with quote

st3v3 wrote:
I always get stumped att he point where a letter equals a number; so X = 2 and Y = 5.

How the fook can a letter equate to a number? How do you 'just' allocate a number to a letter; what gives it a corresponding value?


I don't think I answered this in the way you wanted at all. Laughing

Let's try again.

An equation is a logical statement of fact.

5x + 5 = 10

Take 5 of something, add 5 to it and you get 10. Obviously the correct value of x in this case is 1. Your answer is true, it makes sense. Try using any other number for x and suddenly the statement is nonsense.

Let's try saying x is equal to 2.

5(2) + 5 = 10

Nonsense! Five twos plus five is equal to 15! This is wrong!

It's abstract thinking but it is logical. You don't need to relate it to anything in the real world, a lot of people will struggle because they can't picture anything in their head.


-----------------------------


Let's look at something practical, it takes a little algebra but it's not too bad.

Five pens and two rulers cost 94p. If a ruler costs 5p more than a pen, find the cost of each.

What are we being told? What information is there that we can make use of?

5 pens + 2 rulers = 94p

Wtf are we meant to do with this? Start multiplying and guessing? Nooo, it's much easier.

This is where we would assign letters to the unknowns to make life easier for ourselves. We'll call a pen 'x', and a ruler 'y'.

So now we have

5x + 2y = 94

There are two unknowns! We can't do anything with this! But slow down a second, we know how much a ruler costs. It's a pen + 5p!

A ruler = A pen + 5p
y = x + 5

If 'y' is equal to that, we can put it into our equation and if you look closely it still holds true.

5x + 2y = 94
5x + 2(x + 5) = 94
^Both are exactly the same, you haven't changed the value of anything, just rewrote it in an easier way to solve.

Now let's solve it.

5x + 2x + 10 = 94
7x + 10 = 94
7x = 94 - 10
7x = 84
x = 84 / 7
x = 12p

A pen costs 12p! How much is a ruler though?

y = x + 5

y = 12 + 5

y = 17p


Take your time, write it out it step by step and by the end of it you will realise you probably already knew this stuff. I've left out some intermediate steps involved in the calculation for the sake of being neat so don't worry if that trips you up.
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The last post was made 14 years, 64 days ago. Instead of replying here, would creating a new thread be more useful?
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